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Finding the Fourth Proportional to 17,645.33, 26,461.33 and 7,779.23

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Solution

The fourth proportional to 17,645.33, 26,461.33 and 7,779.23 is: 11,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.33 : 26,461.33 = 7,779.23 : x
  2. Step 2: Convert to fraction form
    17,645.33/26,461.33 = 7,779.23/x
  3. Step 3: Cross multiply
    17,645.33x = 26,461.33 × 7,779.23
  4. Step 4: Simplify right side
    17,645.33x = 205,848,726.20
  5. Step 5: Solve for x
    x = 205,848,726.20/17,645.33
  6. Step 6: Final answer
    x = 11,665.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.